What is the Least Common Multiple of 46428 and 46443?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 46428 and 46443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 46428 and 46443, than apply into the LCM equation.

GCF(46428,46443) = 3
LCM(46428,46443) = ( 46428 × 46443) / 3
LCM(46428,46443) = 2156255604 / 3
LCM(46428,46443) = 718751868

Least Common Multiple (LCM) of 46428 and 46443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 46428 and 46443. First we will calculate the prime factors of 46428 and 46443.

Prime Factorization of 46428

Prime Factorization of 46443

Now multiplying the highest exponent prime factors to calculate the LCM of 46428 and 46443.

LCM(46428,46443) = 2² × 3¹ × 53¹ × 73¹ × 113¹ × 137¹
LCM(46428,46443) = 718751868